When A runs 5 km, Bcan run 2 km. Initially A was 750 m behind Band they were running in the same direction. How much distance, in metres, must A run to cross B, if they start at the same time? | UPSC CAPF 2026 Q No 56

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When A runs 5 km, Bcan run 2 km. Initially A was 750 m behind Band they were running in the same direction. How much distance, in metres, must A run to cross B, if they start at the same time?

Options:

  1. 500
  2. 750
  3. 1250
  4. 1500
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Accepted Answer

Accepted Answer: (C) 1250

Topic Covered: Quantitative Aptitude and Reasoning

Key Concept: Mathematical relationships, counting and logical analysis

Use the ratio of speeds to convert the distance condition into a time relationship. Since time = distance/speed, the relative speed directly determines the relative time taken.

The key is to apply the central fact, formula, definition or relationship tested in the question and then eliminate alternatives that do not satisfy it.

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